Auto-B𝐚̈cklund Transformation for Travelling Wave Solutions of Some Nonlinear Partial Differential Equations

Year 2020, Volume: 16 Issue: 2, 229 - 236, 24.06.2020

İbrahim Enam İnan , Ünal İç

Abstract

In
this paper, we implemented Auto-Bcklund transformation for finding the travelling wave solutions of the complexly coupled KdV
equations and the sixth order equation of the
Burgers hierarchy. These solutions are hyperbolic function solutions and
exponential function solutions. The Auto- Bcklund transformation used in this article is
a powerful method for finding traveling wave solutions of nonlinear partial
differential equations.

Keywords

Auto-Ba ̈cklund transformation, Complexly coupled KdV equations

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